Partial Differential Equations and Solitary Waves Theory

• Main Author: Wazwaz, Abdul-Majid (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Nonlinear Physical Science,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Engineering.; Applied mathematics.; Engineering mathematics.; Analysis.; Appl.Mathematics/Computational Methods of Engineering.; Engineering, general.

"Partial Differential Equations and Solitary Waves Theory" is a self-contained book divided into two parts: Part I is a coherent survey bringing together newly developed methods for solving PDEs. While some traditional techniques are presented, this part does not require thorough understan...

Table of Contents:

• Partial Differential Equations
• Basic Concepts
• First-order Partial Differential Equations
• One Dimensional Heat Flow
• Higher Dimensional Heat Flow
• One Dimensional Wave Equation
• Higher Dimensional Wave Equation
• Laplace’s Equation
• Nonlinear Partial Differential Equations
• Linear and Nonlinear Physical Models
• Numerical Applications and Padé Approximants
• Solitons and Compactons
• Solitray Waves Theory
• Solitary Waves Theory
• The Family of the KdV Equations
• KdV and mKdV Equations of Higher-orders
• Family of KdV-type Equations
• Boussinesq, Klein-Gordon and Liouville Equations
• Burgers, Fisher and Related Equations
• Families of Camassa-Holm and Schrodinger Equations.